Multi-peak bound states for Schrödinger equations with compactly supported or unbounded potentials

DOI10.1016/j.anihpc.2010.05.003zbMath1200.35282OpenAlexW2083144411MaRDI QIDQ708630

Na Ba, Shuangjie Peng, Yinbin Deng

Publication date: 14 October 2010

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.anihpc.2010.05.003

zbMATH Keywords

nonlinear Schrödinger equationbound statemulti-peak solutionspotentials compactly supported or unbounded at infinity

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20)

Related Items (13)

Standing waves with a critical frequency for nonlinear Schrödinger equations involving critical growth ⋮ Existence and concentration behavior of ground state solutions for magnetic nonlinear Choquard equations ⋮ Multi-peak solutions to Kirchhoff equations in \(\mathbb{R}^3\) with general nonlinearity ⋮ Existence and concentration of positive solutions for semilinear Schrödinger-Poisson systems in \({\mathbb{R}^{3}}\) ⋮ Existence and concentration of bound states of a class of nonlinear Schrödinger equations in \(\mathbb{R}^2\) with potential tending to zero at infinity ⋮ Nonstandard solutions for a perturbed nonlinear Schrödinger system with small coupling coefficients ⋮ Multi-peak solutions for logarithmic Schrödinger equations with potentials unbounded below ⋮ Stationary solutions of the nonlinear Schrödinger equation with fast-decay potentials concentrating around local maxima ⋮ Quasilinear scalar field equations with competing potentials ⋮ Existence of positive solutions for a Schrödinger-Poisson system with critical growth ⋮ Existence results for nonlinear Schrödinger systems with electromagnetic fields in ℝ^N ⋮ On concentration of least energy solutions for magnetic critical Choquard equations ⋮ Semi-classical analysis for fractional Schrödinger equations with fast decaying potentials

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